I dont see any problem, only and advice, specify an IP to do the PAT is a good option in this cases
try with
nat (VPN_DMZ) 1000 0 0
global (outside) 1000 10.1.1.116.3-10.1.116.253
global (outside) 1000 10.1.116.254
clear xlate
then try again, using show xlate to check the translates
to debug use logging on , then logg mon 7 and see if the pix is translating or are sending messages related to the translation.